54535320 has 384 divisors, whose sum is σ = 229132800. Its totient is φ = 10948608.

The previous prime is 54535297. The next prime is 54535343. The reversal of 54535320 is 2353545.

It is an interprime number because it is at equal distance from previous prime (54535297) and next prime (54535343).

It is a super-2 number, since 2×54535320² = 5948202255004800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813927 + ... + 813993.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^54535320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

54535320 is an abundant number, since it is smaller than the sum of its proper divisors (174597480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54535320 is a wasteful number, since it uses less digits than its factorization.

54535320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 54535320 is about 7384.8033149164. The cubic root of 54535320 is about 379.2212120271.

Adding to 54535320 its reverse (2353545), we get a palindrome (56888865).

The spelling of 54535320 in words is "fifty-four million, five hundred thirty-five thousand, three hundred twenty".